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Byju's Answer
Standard XII
Mathematics
Basic Inverse Trigonometric Functions
If z+2z=4,f...
Question
If
z
+
2
z
=
4
,find the value of
z
2
+
4
z
2
Open in App
Solution
Given
z
+
2
z
=
4
Squaring on both sides
(
z
+
2
z
)
2
=
4
2
z
2
+
(
2
z
)
2
+
2
(
z
)
(
2
z
)
=
16
⟹
z
2
+
4
z
2
+
4
=
16
⟹
z
2
+
4
z
2
=
12
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